Is MBA from IIBM through distance a valid degree to apply for government jobs?

IIBM offers certification courses. IIBM has an institutional member of AIMA and DEC. IIBM courses are if you are applying for promotion and working in a private company. It also recognize by various central universities in India. So marks card should be valid national and international both level.

Yes, you can do distance education from any institute, as it will be applicable for each and every job that you apply for. As degree doesn't matter, but your qualifications does matter a lot. All the best.